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Finding the Fourth Proportional to 9,494.66, 13,102.56 and 5,246.00

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Solution

The fourth proportional to 9,494.66, 13,102.56 and 5,246.00 is: 7,239.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.66 : 13,102.56 = 5,246.00 : x
  2. Step 2: Convert to fraction form
    9,494.66/13,102.56 = 5,246.00/x
  3. Step 3: Cross multiply
    9,494.66x = 13,102.56 × 5,246.00
  4. Step 4: Simplify right side
    9,494.66x = 68,736,013.38
  5. Step 5: Solve for x
    x = 68,736,013.38/9,494.66
  6. Step 6: Final answer
    x = 7,239.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.